Pith Number

pith:THHDB32H

pith:2012:THHDB32HFQVJY5UXFGHXF7TWKF

not attested not anchored not stored refs pending

Continuum Schr\"odinger Operators Associated With Aperiodic Subshifts

Anton Gorodetski (UC Irvine), David Damanik (Rice University), Jake Fillman (Rice University)

arxiv:1212.5844 v1 · 2012-12-23 · math.SP · math-ph · math.DS · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{THHDB32HFQVJY5UXFGHXF7TWKF}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:52:28.812936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99ce30ef472c2a9c7697298f72fe765147a9f431ecf5d3665ed4c0826132cdb2

Aliases

arxiv: 1212.5844 · arxiv_version: 1212.5844v1 · doi: 10.48550/arxiv.1212.5844 · pith_short_12: THHDB32HFQVJ · pith_short_16: THHDB32HFQVJY5UX · pith_short_8: THHDB32H

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/THHDB32HFQVJY5UXFGHXF7TWKF \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 99ce30ef472c2a9c7697298f72fe765147a9f431ecf5d3665ed4c0826132cdb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74c7a129a0dd4d7dd7ba5035597e7896b3de59cd82e906079973385504acef90",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-12-23T23:53:47Z",
    "title_canon_sha256": "69f9ca10925fc81da2d006eefd48cba283e012199146cf2dec02b19eb17d4939"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5844",
    "kind": "arxiv",
    "version": 1
  }
}